Question

use the diagram to find the following. what are three pairs of corresponding angles? angles 1 & 7, 8 & 6, and 2 & 4 angles 1 & 7, 2 & 4, and 6 & 7 angles 3 & 4, 7 & 8, and 1 & 6 angles 1 & 2, 3 & 8, and 4 & 7

Explanation:

Step1: Recall corresponding - angles definition

Corresponding angles are in the same relative position with respect to the transversal and the two lines. When a transversal intersects two lines, corresponding angles are congruent if the two lines are parallel.

Step2: Identify corresponding - angle pairs

For the given diagram with transversal \(h\) intersecting lines \(a\) and \(b\), the pairs of corresponding angles are:

• Angle 1 and Angle 5: They are in the same relative position (above the lines \(a\) and \(b\) and to the left of the transversal \(h\)).
• Angle 2 and Angle 6: Both are above the lines \(a\) and \(b\) and to the right of the transversal \(h\)).
• Angle 3 and Angle 7: Both are below the lines \(a\) and \(b\) and to the right of the transversal \(h\)).
• Angle 4 and Angle 8: Both are below the lines \(a\) and \(b\) and to the left of the transversal \(h\)).

Among the given options, the correct pair of corresponding angles is angles 3 & 4, 7 & 8, and 1 & 6.

Answer:

angles 3 & 4, 7 & 8, and 1 & 6